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Finding the Fourth Proportional to 20,781.70, 31,186.19 and 7,634.18

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Solution

The fourth proportional to 20,781.70, 31,186.19 and 7,634.18 is: 11,456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.70 : 31,186.19 = 7,634.18 : x
  2. Step 2: Convert to fraction form
    20,781.70/31,186.19 = 7,634.18/x
  3. Step 3: Cross multiply
    20,781.70x = 31,186.19 × 7,634.18
  4. Step 4: Simplify right side
    20,781.70x = 238,080,987.97
  5. Step 5: Solve for x
    x = 238,080,987.97/20,781.70
  6. Step 6: Final answer
    x = 11,456.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.